# Stored data for abelian variety isogeny class 2.73.as_ha, downloaded from the LMFDB on 10 December 2025.
{"abvar_count": 4180, "abvar_counts": [4180, 28607920, 151355797780, 806214669638400, 4297590717905204500, 22902218467608248684080, 122045143370526156004967380, 650377903670960447798211686400, 3465863719884589665047947263205780, 18469587787132686780987211779741598000], "abvar_counts_str": "4180 28607920 151355797780 806214669638400 4297590717905204500 22902218467608248684080 122045143370526156004967380 650377903670960447798211686400 3465863719884589665047947263205780 18469587787132686780987211779741598000 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.128793700061317, 0.457180132592647], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 56, "curve_counts": [56, 5370, 389072, 28389598, 2073054656, 151335352410, 11047410225992, 806460121471678, 58871586679994216, 4297625833193273850], "curve_counts_str": "56 5370 389072 28389598 2073054656 151335352410 11047410225992 806460121471678 58871586679994216 4297625833193273850 ", "curves": ["y^2=72*x^6+4*x^5+41*x^4+8*x^3+25*x^2+32*x+60", "y^2=11*x^6+29*x^5+58*x^4+29*x^3+52*x^2+56*x+24", "y^2=31*x^6+32*x^5+67*x^4+5*x^3+62*x^2+4*x+52", "y^2=54*x^6+63*x^5+33*x^4+19*x^3+58*x+69", "y^2=24*x^6+18*x^5+62*x^4+52*x^3+59*x^2+23*x+60", "y^2=60*x^6+30*x^5+20*x^4+8*x^3+38*x^2+7*x+41", "y^2=40*x^6+9*x^5+29*x^4+46*x^3+17*x^2+71*x+70", "y^2=45*x^6+17*x^5+62*x^4+64*x^3+36*x^2+10*x+16", "y^2=19*x^6+9*x^5+39*x^4+20*x^3+31*x^2+28*x+4", "y^2=33*x^6+13*x^5+26*x^4+18*x^3+29*x^2+2*x+15", "y^2=72*x^6+28*x^5+66*x^4+22*x^3+65*x^2+2*x+63", "y^2=26*x^6+21*x^5+57*x^4+70*x^3+45*x^2+49*x+12", "y^2=47*x^6+49*x^5+19*x^4+58*x^3+51*x^2+11*x+5", "y^2=14*x^6+5*x^5+13*x^3+44*x^2+65*x+4", "y^2=18*x^6+31*x^5+66*x^4+4*x^3+22*x^2+4*x+53", "y^2=67*x^6+12*x^5+21*x^4+51*x^3+7*x+30", "y^2=23*x^6+32*x^5+42*x^4+6*x^3+14*x^2+26*x+29", "y^2=7*x^6+59*x^5+70*x^4+40*x^3+30*x+45", "y^2=14*x^6+50*x^5+49*x^4+27*x^3+51*x^2+15*x+38", "y^2=44*x^6+63*x^5+17*x^4+65*x^3+54*x^2+8*x+37", "y^2=25*x^6+12*x^5+3*x^4+41*x^3+63*x^2+41*x+63", "y^2=49*x^6+69*x^5+51*x^4+22*x^3+60*x^2+6*x+65", "y^2=22*x^6+66*x^5+3*x^4+29*x^3+40*x^2+65*x+50", "y^2=20*x^6+54*x^5+19*x^4+60*x^3+24*x^2+14*x+43", "y^2=43*x^6+69*x^5+10*x^4+49*x^3+57*x+61", "y^2=17*x^6+42*x^5+50*x^4+20*x^3+8*x^2+69*x+22", "y^2=24*x^6+10*x^5+58*x^4+70*x^3+23*x^2+20*x+21", "y^2=25*x^6+48*x^5+27*x^4+33*x^3+71*x^2+55*x+18", "y^2=37*x^6+2*x^5+11*x^4+54*x^3+70*x^2+14*x+70", "y^2=30*x^6+49*x^5+x^4+14*x^3+31*x^2+47*x+49", "y^2=4*x^6+15*x^5+9*x^4+41*x^3+51*x^2+43*x+56", "y^2=28*x^6+49*x^5+24*x^4+60*x^3+15*x^2+29*x+11", "y^2=56*x^6+60*x^5+32*x^4+53*x^3+26*x^2+54*x+43", "y^2=10*x^6+22*x^5+50*x^4+66*x^3+35*x^2+70*x+34", "y^2=47*x^6+32*x^5+11*x^4+7*x^3+60*x^2+56*x+5", "y^2=23*x^6+71*x^5+52*x^4+63*x^3+59*x^2+45*x+69", "y^2=70*x^6+41*x^5+24*x^4+49*x^3+37*x^2+x+23", "y^2=36*x^6+5*x^5+3*x^4+31*x^3+25*x^2+30*x+41", "y^2=51*x^6+60*x^5+24*x^4+49*x^3+57*x^2+24*x+22", "y^2=5*x^6+72*x^5+14*x^4+51*x^3+13*x^2+60*x+18", "y^2=39*x^6+22*x^5+26*x^4+43*x^3+61*x^2+69*x+61", "y^2=36*x^6+2*x^5+30*x^4+42*x^3+35*x^2+21*x+27", "y^2=40*x^6+50*x^5+13*x^4+64*x^3+53*x^2+23*x+6", "y^2=44*x^6+24*x^5+59*x^4+57*x^3+68*x^2+24*x+16", "y^2=39*x^6+28*x^5+17*x^4+37*x^3+29*x^2+8*x+36", "y^2=10*x^6+15*x^5+67*x^4+58*x^3+15*x^2+49*x+61", "y^2=54*x^6+35*x^4+8*x^3+8*x^2+66*x+4", "y^2=72*x^6+30*x^5+62*x^4+68*x^3+20*x^2+59*x+37", "y^2=52*x^6+11*x^5+5*x^4+32*x^3+49*x^2+63*x+11", "y^2=65*x^6+67*x^5+22*x^4+x^3+43*x^2+9*x+7", "y^2=45*x^6+54*x^5+72*x^4+28*x^3+10*x^2+41*x+16", "y^2=11*x^6+28*x^5+69*x^4+70*x^3+21*x^2+6*x", "y^2=46*x^6+16*x^5+61*x^4+29*x^3+57*x^2+32*x+23", "y^2=9*x^6+53*x^5+20*x^4+33*x^3+30*x^2+50*x+62", "y^2=24*x^6+50*x^5+55*x^4+22*x^3+68*x^2+55*x+10", "y^2=61*x^6+22*x^5+31*x^4+53*x^3+37*x^2+9*x+58", "y^2=19*x^6+37*x^5+33*x^4+3*x^3+58*x^2+55*x+49", "y^2=28*x^6+49*x^5+69*x^4+9*x^3+58*x^2+12*x+39", "y^2=54*x^6+6*x^5+5*x^4+18*x^3+26*x^2+49*x+32", "y^2=71*x^6+62*x^5+60*x^4+57*x^3+58*x^2+3*x+5", "y^2=26*x^6+68*x^5+11*x^4+44*x^3+56*x^2+41*x", "y^2=66*x^6+4*x^5+x^4+69*x^3+46*x^2+57*x+10", "y^2=10*x^6+71*x^5+5*x^4+57*x^3+34*x^2+30*x+28", "y^2=55*x^6+21*x^5+24*x^4+2*x^3+59*x^2+57", "y^2=67*x^6+34*x^5+44*x^4+40*x^3+64*x^2+46*x+59", "y^2=x^6+34*x^5+50*x^4+39*x^3+35*x^2+3*x+47", "y^2=62*x^6+62*x^5+10*x^4+50*x^3+53*x^2+44", "y^2=46*x^6+15*x^5+18*x^4+33*x^3+49*x^2+19*x+34", "y^2=42*x^6+40*x^5+58*x^4+29*x^3+64*x^2+52*x+34", "y^2=29*x^6+56*x^5+65*x^4+42*x^3+53*x^2+2*x+23", "y^2=16*x^6+72*x^5+56*x^4+53*x^3+12*x^2+52*x+59", "y^2=25*x^6+37*x^5+19*x^4+62*x^3+44*x^2+8*x+9", "y^2=29*x^6+69*x^5+18*x^4+64*x^3+50*x^2+49*x+35", "y^2=70*x^6+38*x^5+11*x^4+67*x^3+65*x^2+45*x+12", "y^2=20*x^6+53*x^5+15*x^4+65*x^3+46*x^2+30*x+28", "y^2=12*x^6+x^5+48*x^4+60*x^3+69*x^2+67*x+25", "y^2=29*x^6+63*x^5+24*x^4+70*x^3+37*x^2+41*x+11", "y^2=71*x^6+6*x^5+57*x^4+68*x^3+35*x^2+57*x+43", "y^2=52*x^6+27*x^5+50*x^4+20*x^3+8*x^2+48*x+14", "y^2=63*x^6+41*x^5+54*x^4+71*x^3+54*x^2+30*x+13", "y^2=28*x^6+4*x^5+15*x^4+26*x^3+16*x^2+71*x+59", "y^2=15*x^6+41*x^5+32*x^4+32*x^3+53*x^2+17*x+18", "y^2=12*x^6+31*x^5+29*x^4+71*x^3+6*x^2+16*x+33", "y^2=68*x^6+40*x^5+x^4+38*x^3+23*x^2+50*x+51", "y^2=52*x^6+27*x^5+48*x^4+2*x^3+50*x^2+40*x+47", "y^2=38*x^6+61*x^5+44*x^4+46*x^3+2*x^2+14", "y^2=14*x^6+15*x^5+72*x^4+40*x^3+53*x^2+17*x+64", "y^2=11*x^6+28*x^5+50*x^4+58*x^3+18*x^2+42*x", "y^2=17*x^6+15*x^5+22*x^4+25*x^3+12*x^2+62*x+66", "y^2=42*x^6+52*x^5+59*x^4+x^3+61*x^2+52*x+30", "y^2=39*x^6+43*x^5+7*x^4+4*x^3+34*x^2+68*x+56", "y^2=26*x^6+60*x^5+45*x^4+19*x^3+51*x^2+x+38", "y^2=37*x^6+6*x^5+69*x^4+21*x^3+26*x^2+30*x+66", "y^2=2*x^6+3*x^5+45*x^4+40*x^3+33*x^2+72*x+13", "y^2=41*x^6+38*x^5+68*x^4+30*x^3+24*x^2+35*x+15", "y^2=21*x^6+24*x^5+69*x^4+40*x^3+18*x^2+45*x+14", "y^2=31*x^6+13*x^5+8*x^4+4*x^3+66*x^2+32*x+64", "y^2=5*x^6+29*x^5+53*x^4+36*x^3+38*x^2+47*x+58", "y^2=52*x^6+36*x^5+62*x^4+45*x^3+31*x^2+33*x+2", "y^2=72*x^6+28*x^5+72*x^4+10*x^3+44*x^2+71*x+69", "y^2=4*x^6+43*x^5+33*x^4+3*x^3+46*x^2+18*x+63", "y^2=40*x^6+14*x^5+32*x^4+29*x^3+51*x^2+x+39", "y^2=2*x^6+17*x^5+23*x^4+32*x^3+64*x^2+35*x+28", "y^2=11*x^6+62*x^5+x^4+69*x^3+26*x^2+44*x+60", "y^2=51*x^6+39*x^5+13*x^4+42*x^3+41*x^2+19*x+23", "y^2=61*x^6+38*x^5+34*x^4+5*x^3+x^2+11*x+58", "y^2=38*x^6+4*x^5+24*x^4+4*x^3+34*x^2+46*x+40", "y^2=12*x^6+16*x^4+45*x^3+3*x^2+56*x+61", "y^2=10*x^6+31*x^5+35*x^4+23*x^3+72*x^2+11*x+54", "y^2=13*x^6+38*x^5+2*x^4+72*x^3+65*x^2+50*x+67", "y^2=37*x^6+70*x^4+59*x^3+19*x^2+4*x+66", "y^2=20*x^6+35*x^5+56*x^3+61*x^2+24*x+33", "y^2=60*x^6+72*x^5+48*x^4+69*x^3+9*x^2+51*x+40", "y^2=22*x^6+31*x^5+40*x^4+35*x^3+34*x^2+64*x+26", "y^2=56*x^6+43*x^5+60*x^4+24*x^3+70*x^2+67*x+7", "y^2=56*x^6+43*x^5+64*x^4+21*x^3+51*x^2+42*x+40", "y^2=54*x^6+46*x^5+31*x^4+8*x^3+x^2+7*x+71", "y^2=59*x^6+8*x^5+35*x^4+51*x^3+37*x^2+52*x+23", "y^2=2*x^6+12*x^5+60*x^4+42*x^3+42*x^2+38*x+51", "y^2=17*x^6+10*x^5+6*x^4+24*x^3+31*x^2+42*x+11", "y^2=x^6+61*x^5+18*x^4+8*x^3+15*x^2+19*x+35", "y^2=8*x^6+19*x^5+66*x^4+60*x^3+55*x^2+20*x+8", "y^2=14*x^6+46*x^5+54*x^4+52*x^3+67*x^2+10*x+39", "y^2=49*x^6+62*x^5+62*x^4+9*x^3+26*x^2+41*x+39", "y^2=17*x^6+27*x^5+20*x^4+27*x^3+62*x^2+6*x+17", "y^2=33*x^6+12*x^5+72*x^4+42*x^3+62*x^2+12*x+25", "y^2=43*x^6+39*x^5+52*x^4+29*x^3+6*x^2+16*x+32", "y^2=19*x^6+2*x^5+53*x^4+23*x^3+25*x^2+71*x+19", "y^2=33*x^6+69*x^5+33*x^4+21*x^3+51*x^2+8*x+20", "y^2=3*x^6+57*x^5+72*x^4+44*x^3+67*x^2+14*x+42", "y^2=52*x^6+54*x^5+22*x^4+42*x^3+11*x^2+61*x+47", "y^2=64*x^6+29*x^5+18*x^4+64*x^3+51*x^2+57*x+58", "y^2=58*x^6+70*x^5+25*x^4+45*x^3+71*x^2+29*x+19", "y^2=30*x^6+62*x^5+21*x^4+3*x^3+63*x^2+37*x+68", "y^2=11*x^6+55*x^5+64*x^4+37*x^3+14*x^2+64*x+69", "y^2=16*x^6+50*x^5+8*x^4+32*x^3+50*x^2+69*x+56", "y^2=65*x^6+53*x^5+27*x^4+40*x^3+44*x^2+40*x+33", "y^2=7*x^5+51*x^4+x^3+32*x^2+9*x+21", "y^2=68*x^6+35*x^5+48*x^4+63*x^3+71*x^2+23*x+66", "y^2=42*x^6+70*x^5+22*x^4+41*x^3+62*x^2+25*x+38", "y^2=63*x^6+8*x^5+6*x^4+43*x^3+40*x^2+15*x+58", "y^2=13*x^6+69*x^5+56*x^4+34*x^3+32*x^2+8*x+13", "y^2=8*x^6+7*x^5+64*x^4+12*x^3+5*x^2+12*x+36", "y^2=45*x^6+16*x^5+49*x^4+54*x^3+53*x^2+6*x+42", "y^2=11*x^6+30*x^5+32*x^4+23*x^3+62*x^2+48*x+42", "y^2=33*x^6+24*x^5+69*x^4+2*x^3+23*x^2+20*x+70", "y^2=54*x^6+54*x^5+10*x^4+33*x^3+x^2+4*x+52", "y^2=17*x^6+31*x^5+22*x^4+38*x^3+40*x^2+57*x+5", "y^2=52*x^6+45*x^5+42*x^4+29*x^3+55*x^2+6*x+12", "y^2=48*x^6+22*x^5+60*x^4+64*x^3+57*x^2+10*x+65", "y^2=56*x^5+59*x^4+23*x^3+44*x^2+19*x+47", "y^2=10*x^6+39*x^5+72*x^4+47*x^3+42*x^2+33*x+6", "y^2=65*x^6+67*x^5+7*x^4+15*x^3+26*x^2+12*x+9", "y^2=59*x^6+10*x^5+37*x^4+59*x^3+2*x^2+5*x+62", "y^2=70*x^6+66*x^5+64*x^4+53*x^3+40*x^2+31*x+37", "y^2=64*x^6+2*x^5+45*x^4+55*x^3+72*x^2+71*x+13", "y^2=11*x^6+6*x^5+45*x^4+69*x^3+72*x^2+4*x+6", "y^2=32*x^6+23*x^5+28*x^4+72*x^3+54*x^2+9*x+31", "y^2=55*x^6+32*x^5+32*x^4+45*x^3+x^2+9*x+17", "y^2=44*x^6+7*x^5+20*x^4+26*x^3+18*x+60", "y^2=57*x^6+35*x^5+39*x^4+45*x^3+50*x^2+46*x+7", "y^2=28*x^6+48*x^5+15*x^4+43*x^3+47*x^2+38*x+22"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 6, "g": 2, "galois_groups": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "geom_dim3_distinct": 0, "geom_dim3_factors": 0, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["4T3"], "geometric_number_fields": ["4.0.324400.1"], "geometric_splitting_field": "4.0.324400.1", "geometric_splitting_polynomials": [[811, 0, 57, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 162, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 162, "label": "2.73.as_ha", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.324400.1"], "p": 73, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 18], [1, 11, 1, 18], [1, 19, 1, 6]], "poly": [1, -18, 182, -1314, 5329], "poly_str": "1 -18 182 -1314 5329 ", "primitive_models": [], "principal_polarization_count": 162, "q": 73, "real_poly": [1, -18, 36], "simple_distinct": ["2.73.as_ha"], "simple_factors": ["2.73.as_haA"], "simple_multiplicities": [1], "singular_primes": ["2,F^2-F+2", "3,20*F+8*V-135"], "size": 216, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.324400.1", "splitting_polynomials": [[811, 0, 57, 0, 1]], "twist_count": 2, "twists": [["2.73.s_ha", "2.5329.bo_affm", 2]], "weak_equivalence_count": 6, "zfv_index": 36, "zfv_index_factorization": [[2, 2], [3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 72, "zfv_plus_index": 6, "zfv_plus_index_factorization": [[2, 1], [3, 1]], "zfv_plus_norm": 12976, "zfv_singular_count": 4, "zfv_singular_primes": ["2,F^2-F+2", "3,20*F+8*V-135"]}